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Finding the Fourth Proportional to 442.71, 661.05 and 396.14

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Solution

The fourth proportional to 442.71, 661.05 and 396.14 is: 591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.71 : 661.05 = 396.14 : x
  2. Step 2: Convert to fraction form
    442.71/661.05 = 396.14/x
  3. Step 3: Cross multiply
    442.71x = 661.05 × 396.14
  4. Step 4: Simplify right side
    442.71x = 261,865.04
  5. Step 5: Solve for x
    x = 261,865.04/442.71
  6. Step 6: Final answer
    x = 591.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.